Horizontal Translation of a Graph by Mark Willis
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This example demonstrates the geometric transformation of horizontal translation for function graphs. Key math concepts involved include function transformations, translation, and geometric transformations. The construction utilizes GeoGebra commands/objects like LaTeX for text formatting, Point for creating points, Simplify for expression simplification, and If for conditional logic, with objects such as f (function), h (translation parameter), and g (translated function graph). It is suitable for high school mathematics students to learn and understand the properties of function graph transformations, applicable for classroom teaching or self-study.
GeoGebra Commands & Parameters
LaTeX(f, true, true) → text1Point(f) → PSimplify(f(x - h)) → pIf(h < 0, "+", "-") → text9